A-Level Maths for Edexcel - Mechanics 1: Student Book

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In the diagram above, the vector r has magnitude r and direction j to the x-axis. Using basic trigonometry, we can calculate that the component of r in the direction of the x-axis is rcos j. The component in the direction of the y-axis is rsin j. Therefore r = rcos j i + rsin j j. Supports Paper 4 of the Cambridge International AS & A Level Mathematics syllabus for examination from 2020 The assessment has a gradient of difficulty throughout the paper and consists of a mix of short and long questions. If two vectors are added together, the resultantis found by placing the vectors to be added end to end. If the vectors are given in unit vector form, you simply add together the i, j and k values. Since the vectors are given in i, j form, we can easily calculate the resultant. 3 i + j - 5 i + j = -2 i + 2 j

Therefore, if no other forces act on the bodies (in the direction of collision), then the total momentum of the two bodies will be unchanged. Hence the total momentum before collision in a particular direction = total momentum after in a particular direction. Students must take all components and explore the content in detail to be awarded the OCR A Level in Mathematics A. Content overview

Mark Schemes

Hammer vs feather - physics on the moon- get students to do their own calculations of the acceleration of gravity. They can estimate the height from where they are dropped, they can all time it with their phones, and they know initial velocity is zero(1.5 minutes)

The assessment is structured in two sections of approximately 50 marks each: pure mathematics and mechanics. Each section has a gradient of difficulty throughout the section and consists of a mix of short and long questions. Although the following questions are predominantly from the OCR, OCR MEI and Edexcel exam boards, they are suitable practice for all UK A Level Maths qualifications unless otherwise stated. Section These overarching themes should be applied, along with associated mathematical thinking and understanding, across the whole of the detailed content in the specification: Kinematics is an area of study that focuses on the movement of objects, disregarding the forces that cause the movements.Letters used to represent vectors should always be underlined or in bold type. For example, the velocity of an object may be represented by v. Since this is a vector quantity, it is in bold type. Small case letters are usually used to represent vectors.

A vector quantity has both magnitude and direction. Acceleration, velocity, force and displacement are all examples of vector quantities. A scalar quantity has magnitude, so the direction is not important, (examples include speed, time and distance). A scalar can also have sign (such as work done and charge).Suppose we are told that after the collision, the ball of mass 1kg moves away with velocity 2m/s, then we can use the principle of conservation of momentum to determine the velocity of the other ball after the collision. Edexcel’s latest Scheme of Work document now includes many links for the use of technology as well as all the very useful notes for teachers. A link from the Mechanics notes led to these CG50 Mechanics resources. Casio CG50 Mechanics Resources The assessment is structured in two sections of approximately 50 marks each: pure mathematics and statistics. Each section has a gradient of difficulty throughout the section and consists of a mix of short and long questions. Some questions will be set on the pre-release data set.